It's too early to say with certainty but many of the main contenders hoping to become Britain's next prime minister favor a hard Brexit rather than maintaining economic ties with Europe.
Brussels could envisage modifying a non-binding political declaration that accompanies the Brexit treaty to flesh out ambitions for future EU-UK ties.
May has bowed to relentless pressure from her party to quit over her failure to take Britain out of the European Union on schedule.
This was following an outcry from hardline Brexiteers over concessions made by Prime Minister Theresa May.
The beleaguered premier is in the last throes of a tumultuous rule focused all-but exclusively on guiding her fractured country out of the European Union in one piece.
In a major compromise to a demand from the Opposition benches, she promised to include the option of a parliamentary vote on holding a second referendum on her deal if it clears the Commons next month
All eyes will be on the ruling Conservatives and Opposition Labour Party as they are flanked by a number of Indian-origin candidates.
For the first time ever, it will be an all-English final in both the Champions League and Europa League final.
Britain was due to leave the EU on March 29, but the bloc has extended the Brexit deadline until Oct. 31 amid the political impasse in the U.K.
The former Mayor of London and leading Brexit campaigner was long expected to stand as PM.
UK already missed the March 29 deadline to do so, now having until October 31 to leave the bloc.
The fragility of May's leadership and the threat it presents to any deal being deliverable has been discussed openly in the cross-party Brexit talks, which resumed on Monday.
"The UK labour market has been remarkably resilient in the face of Brexit-related uncertainty," Hargreaves Lansdown senior economist Ben Brettell said in reaction to the latest data.
Honda said the closure is not Brexit-driven but "is part of Honda's broader global strategy in response to changes to the automotive industry.
The Prime Minister has said that she will step down when her Brexit deal is ratified by Parliament, but some MPs want a fixed date.